1) -16 = v - 14
Add 14 to both sides.
v = -2
2) -2n = -22
Divide both sides by -2.
n = 11
3) 25 = b + 7
Subtract 7 from both sides.
b = 18
Answer:
Step-by-step explanation:
Let the number of jars is x.
<u>80 liters distributed, each jar has:</u>
<u>Redistribution with 4 less jars, each jar now has:</u>
<u>Each jar has now twice the amount:</u>
- 80/x*2 = 80/(x - 4)
- 2/x = 1/(x - 4)
- 2(x - 4) = x
- 2x - 8 = x
- x = 8
She prepared 8 jars at the start
So to solve this question, your goal is to find out how the way it is solved is not correct.
Your answer would be: On the third line, the student adds the 8 to both sides instead of subtracting. The way the initial equation is given is
y-(-8)=-6(x-2). After distributing the six, the student should make the 8 positive because subtracting a negative makes a positive. After solving, the equation should look like: y(+8)=-6x+12, so you would subtract the 8 from both sides instead of adding it, and solve from there.
Answer:
b = 159 m
a = 103 m
angle B is 57 degrees
Step-by-step explanation:
Let’s start with getting the measure of angle B
Mathematically, since we have a right triangle , we have to subtract the given angle from 90 to get the other acute angle
So we have the measure of B as;
90-33 = 57 degrees
To get the value of a, we use the appropriate trigonometric ratio
a faces the angle 33, that makes it an opposite to that angle
190 faces the right angle and that makes it the hypotenuse
Mathematically , the relationship between the two is that trigonometrically, they are related by the sine which is the ratio of the opposite to the hypotenuse
so, we have it that;
sine 33 = a/190
a = 190 * sine 33
a = 103 m
to get b, it is adjacent to the given angle
So with the hypotenuse, the ratio between it and the hypotenuse is the cosine
so;
cos 33 = b/190
b = 190 * cos 33
b = 159 m
Answer:
y=x-32
Step-by-step explanation:
y=mx+b where m is the slope and b is the y-intercept.
slope=change in y/change in x
=5/5
y=5x+b --> choose a random point
(7,3) ---> 3=5(7)+b=35+b
b= -32
y=x-32
